Number Theory. 400 level. Introductory Course in Undergraduate.

Topics usually include the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields. (See attached file for full problem description)

Number Theory. 400 level. Introductory Course in Undergraduate.

Topics usually include the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields. (See attached file for full problem description)

Number Theory. 400 level. Introductory Course in Undergraduate.

Topics usually include the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields. (See attached file for full problem description)

Number Theory. 400 level. Introductory Course in Undergraduate.

Topics usually include the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields. (See attached file for full problem description)

A Number theory problem

Need help in determining the proofs given the attached assertion. (See attached file for full problem description)

Number theory Question

Need help in proving the following. May need above assertion to prove. (See attached file for full problem description)

Number Theory Problem

Need help in determining the following proofs. (See attached file for full problem description)

Proof problem

Need help in defining proof with given information. (See attached file for full problem description)

Math problem, proof

Need help in deciphering the following proof. (See attached file for full problem description)

Probability problem

1. A chance device used by the Lottery Commission can generate any number between 2 and 30 for the "daily numbers game", with the probability of any individual number determined by a secret formula. Event A is "the number is prime," and P(A) = 0.4. Event B is "the number is less than 15," and P(B) = 0.5. Event C is "the n ...continues